Inverse fourier transform using tables

By using tables find the inverse Fourier transform of .

The definition of inverse Fourier transform of in my lecture notes is .

I guess this would involve convolution as . What is ? How do I get this from the Fourier transforms table?

The given solution is .

Re: Inverse fourier transform using tables

Quote:

Originally Posted by

**math2011** By using tables find the inverse Fourier transform of

.

The definition of inverse Fourier transform of

in my lecture notes is

.

I guess this would involve convolution as

. What is

? How do I get this from the Fourier transforms table?

The given solution is

.

Complete the square of the exponent then use the appropriate translation theorem and the inverse transform of

CB

Re: Inverse fourier transform using tables

Thank you. That worked.